Results 1 to 4 of 4

Math Help - More antiderivative questions

  1. #1
    Newbie
    Joined
    Nov 2008
    Posts
    4

    More antiderivative questions

    1) f(x) = -13/(1 +x^2 )

    The question is to find the antiderivative. I'd assume it would be inverse tangent X -13. Am I correct?


    2) (1 pt) Given that the graph of f(x) passes through the point (5,5) and that the slope of its tangent line at (x,f(x)) is 4x +5 what is f(3)?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by helppalusmath View Post
    1) f(x) = -13/(1 +x^2 )

    The question is to find the antiderivative. I'd assume it would be inverse tangent X -13. Am I correct?


    2) (1 pt) Given that the graph of f(x) passes through the point (5,5) and that the slope of its tangent line at (x,f(x)) is 4x +5 what is f(3)?
    1. No. Try f'(x) = -13 tan^{-1} (x) + C. Do you see why?

    2. \frac{dy}{dx} = 4x + 5 \Rightarrow y = 2x^2 + 5x + C. Substitute (5, 5) to get the value of C. Then substitute x = 3 to get the required value of y.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member
    Joined
    Jun 2008
    Posts
    792
    Quote Originally Posted by mr fantastic View Post
    1. No. Try f'(x) = -13 tan^{-1} (x) + C. Do you see why?
    I think he meant "inverse tangent times -13"
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by Chop Suey View Post
    I think he meant "inverse tangent times -13"
    Hmmmph .... That's what I tell my bank teller every time I bank a cheque for say $30.50 ..... "I think she meant $3050", I say ..... It doesn't work with bank tellers and it doesn't work examiners .... Examiners don't play guessing games, careless mistakes can be costly.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Antiderivative
    Posted in the Calculus Forum
    Replies: 2
    Last Post: April 8th 2010, 10:58 PM
  2. antiderivative
    Posted in the Calculus Forum
    Replies: 2
    Last Post: February 16th 2010, 01:47 PM
  3. Antiderivative
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 4th 2009, 06:31 AM
  4. Antiderivative
    Posted in the Calculus Forum
    Replies: 7
    Last Post: January 20th 2009, 09:42 PM
  5. antiderivative.
    Posted in the Calculus Forum
    Replies: 4
    Last Post: February 19th 2007, 07:59 AM

Search Tags


/mathhelpforum @mathhelpforum